Interval observer design for nonlinear discrete‐time dynamic systems.
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| Title: | Interval observer design for nonlinear discrete‐time dynamic systems. |
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| Authors: | Zhirabok, Alexey1,2 (AUTHOR) zhirabok@mail.ru, Zuev, Alexander2 (AUTHOR), Filaretov, Vladimir3 (AUTHOR) |
| Source: | International Journal of Adaptive Control & Signal Processing. Jun2024, Vol. 38 Issue 6, p2045-2055. 11p. |
| Subjects: | Nonlinear dynamical systems, Function algebras, Vector valued functions, Interval analysis, Nonlinear functions, Nonlinear systems |
| Abstract: | Summary: The problem of interval observer design for systems described by nonlinear models with uncertainties is considered. The problem is solved based on special mathematical technique (the algebra of functions) which allows obtaining solution for systems containing non‐smooth nonlinearities. The relations to design interval observer insensitive or having minimal sensitivity to the disturbance and estimating the prescribed nonlinear function of the state vector of the original system are derived. Theoretical results are illustrated by example. [ABSTRACT FROM AUTHOR] |
| Copyright of International Journal of Adaptive Control & Signal Processing is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Abstract: | Summary: The problem of interval observer design for systems described by nonlinear models with uncertainties is considered. The problem is solved based on special mathematical technique (the algebra of functions) which allows obtaining solution for systems containing non‐smooth nonlinearities. The relations to design interval observer insensitive or having minimal sensitivity to the disturbance and estimating the prescribed nonlinear function of the state vector of the original system are derived. Theoretical results are illustrated by example. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 08906327 |
| DOI: | 10.1002/acs.3789 |
